FRQ — Coordinate Geometry

Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A drone moves on a straight line from tower

A(-2,5)

to tower

B(10,-1)

. Point

D

is one-third of the way from

A

B

, and

M

is the midpoint of

AB

Total: 4 marks

(a) Find the coordinates of $D$ . (2 marks)

(b) Find the coordinates of $M$ . (1 mark)

Your response (optional — you can also work on paper)

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